erweitern (2x+1)/(U^6(x-3)^6x)

Lösung

erweitern

\frac{2 x + 1}{U ^{6} ( x - 3 ) ^{6} x}

\frac{2 x + 1}{x ^{7} U ^{6} - 18 x ^{6} U ^{6} + 135 x ^{5} U ^{6} - 540 x ^{4} U ^{6} + 1215 x ^{3} U ^{6} - 1458 x ^{2} U ^{6} + 729 x U ^{6}}

Schritte zur Lösung

\frac{2 x + 1}{U ^{6} ( x - 3 ) ^{6} x}

(x - 3)^{6} = x^{6} - 18 x^{5} + 135 x^{4} - 540 x^{3} + 1215 x^{2} - 1458 x + 729

= \frac{2 x + 1}{x U ^{6} ( x ^{6} - 18 x ^{5} + 135 x ^{4} - 540 x ^{3} + 1215 x ^{2} - 1458 x + 729 )}

Multipliziere aus

U^{6} (x^{6} - 18 x^{5} + 135 x^{4} - 540 x^{3} + 1215 x^{2} - 1458 x + 729) x : x^{7} U^{6} - 18 x^{6} U^{6} + 135 x^{5} U^{6} - 540 x^{4} U^{6} + 1215 x^{3} U^{6} - 1458 x^{2} U^{6} + 729 x U^{6}

= \frac{2 x + 1}{x ^{7} U ^{6} - 18 x ^{6} U ^{6} + 135 x ^{5} U ^{6} - 540 x ^{4} U ^{6} + 1215 x ^{3} U ^{6} - 1458 x ^{2} U ^{6} + 729 x U ^{6}}

e x p an d \frac{( ( x + 3 ) ^{2} )}{( x + 1 ) ^{3} ( x + 2 ) ^{2}}

e x p an d (f (x) = 2, x + 5) \cdot (g (x) = x + 5)

e x p an d - 3 (3 x - 5 = 7 - 4 x)

e x p an d (4 + 6 x) x^{3} e^{6 x}

s im pl i f y 4 \cdot (1 - \frac{cos ( 2 θ )}{2})